Theorems · Theorem · general topology
Metric.cthickening_max_zero
∀ {α : Type u} [inst : PseudoEMetricSpace α] (δ : ℝ) (E : Set α),
Metric.cthickening (max 0 δ) E = Metric.cthickening δ E- Defined in
- Mathlib.Topology.MetricSpace.Thickening
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- PseudoEMetricSpacestatement and proof · cited by 1,536
- closureproof · cited by 1,254
- le_totalproof · cited by 294
- sup_of_le_leftproof · cited by 218
- sup_of_le_rightproof · cited by 143
- Metric.cthickeningstatement and proof · cited by 113
- Metric.cthickening_of_nonposproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- Metric.cthickening_eq_iInter_thickening''proof · cited by 4
- blimsup_cthickening_ae_le_of_eventually_mul_leproof · cited by 1